Exploring the phase diagram of lattice quantum gravity

Daniel Coumbe; Jack Laiho

Exploring the phase diagram of lattice quantum gravity

Daniel Coumbe, Jack Laiho

Research output: Contribution to journal › Conference Article › peer-review

Abstract

We present evidence that a nonperturbative model of quantum gravity defined via Euclidean dynamical triangulations contains a region in parameter space with an extended 4-dimensional geometry when a non-trivial measure term is included in the gravitational path integral. Within our extended region we find a large scale spectral dimension of D_s (σ → ∞) = 4.04 ± 0.26 and a Hausdorff dimension that is consistent with D_H = 4 from finite size scaling. We find that the short distance spectral dimension is D_s (σ → 0) ≈ 3/2, which may resolve the tension between asymptotic safety and holographic entropy scaling.

Original language	English (US)
Journal	Proceedings of Science
Volume	139
State	Published - 2011
Externally published	Yes
Event	29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States Duration: Jul 10 2011 → Jul 16 2011

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abstract = "We present evidence that a nonperturbative model of quantum gravity defined via Euclidean dynamical triangulations contains a region in parameter space with an extended 4-dimensional geometry when a non-trivial measure term is included in the gravitational path integral. Within our extended region we find a large scale spectral dimension of Ds (σ → ∞) = 4.04 ± 0.26 and a Hausdorff dimension that is consistent with DH = 4 from finite size scaling. We find that the short distance spectral dimension is Ds (σ → 0) ≈ 3/2, which may resolve the tension between asymptotic safety and holographic entropy scaling.",

author = "Daniel Coumbe and Jack Laiho",

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AU - Coumbe, Daniel

AU - Laiho, Jack

N1 - Publisher Copyright: © Copyright owned by the author(s).

PY - 2011

Y1 - 2011

N2 - We present evidence that a nonperturbative model of quantum gravity defined via Euclidean dynamical triangulations contains a region in parameter space with an extended 4-dimensional geometry when a non-trivial measure term is included in the gravitational path integral. Within our extended region we find a large scale spectral dimension of Ds (σ → ∞) = 4.04 ± 0.26 and a Hausdorff dimension that is consistent with DH = 4 from finite size scaling. We find that the short distance spectral dimension is Ds (σ → 0) ≈ 3/2, which may resolve the tension between asymptotic safety and holographic entropy scaling.

AB - We present evidence that a nonperturbative model of quantum gravity defined via Euclidean dynamical triangulations contains a region in parameter space with an extended 4-dimensional geometry when a non-trivial measure term is included in the gravitational path integral. Within our extended region we find a large scale spectral dimension of Ds (σ → ∞) = 4.04 ± 0.26 and a Hausdorff dimension that is consistent with DH = 4 from finite size scaling. We find that the short distance spectral dimension is Ds (σ → 0) ≈ 3/2, which may resolve the tension between asymptotic safety and holographic entropy scaling.

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M3 - Conference Article

AN - SCOPUS:85053286670

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T2 - 29th International Symposium on Lattice Field Theory, Lattice 2011

Y2 - 10 July 2011 through 16 July 2011

ER -

Exploring the phase diagram of lattice quantum gravity

Abstract

ASJC Scopus subject areas

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